Lectures

Literature

Course Contents

Limits and continuity, derivatives and applications, the definite integral and applications.
Chapters 1,2,3,4 and 7 from Stewart's book.

Examination and Grading

Tests (50%)

There will be 4 tests. These will be given on Thursdays and will be announced
at least one week in advance. The test with lower score will be dropped and the other three
remaining will be worth 50% towards the final grade. There will be no make-up tests.

Final (30%)

There will be a comprehensive final to be worth 30%.

Homework and Quizzes (20%)

There will be homework to be handed in every week. The homework will be assigned and completed
in WebAssign (http://www.webassign.net/) . The homework posted during each week will be due the Friday of the following week.
An accesscode for WebAssign is bundled with the new textbook purchased through the UM Bookstore.
To get enrolled in the course in WebAssign you should use the class key: miami 6109 7970
There may also be some additional homework problems without any due date but that you should
complete in order to train the concepts given in class. Some of these problems could
appear in the quizzes, tests and the final. These problems will be assigned after some of the
classes and also posted in the web page of the course.
There will be (unannounced) quizzes on some Wednesdays.
Homework and quizzes are equally weighted for the remaining 20% of the grade.

Grading Scale

Percentage

Grade

>=90%

A

>=80%

B

>=70%

C

>=60%

D

<60%

F

Syllabus

This is an approximate schedule of the course containing the syllabus:

Date

Topic

Wed 8/24

Introduction. 1.1 Functions and their representations

Thu 8/25

1.2 Especial Functions

Mon 8/29

1.3 The limit of a function

Wed 8/31

1.4 Calculating limits

Thu 9/01

1.4 Calculating limits

Wed 9/07

1.5 Continuity

Thu 9/08

1.6 Limits involving infinity

Mon 9/12

2.1 Derivatives and rates of change

Wed 9/14

2.2 The derivative as a function

Thu 9/15

2.2 The derivative as a function

Mon 9/19

2.3 Basic differentiation formulas

Wed 9/21

2.4 The product and quotients rules

Thu 9/22

TEST 1

Mon 9/26

2.5 The chain rule

Wed 9/28

2.6 Implicit differentiation

Thu 9/29

2.7 Related rates

Mon 10/03

2.8 Linear approximations and differentials

Wed 10/05

3.1 Maximum and minimum values

Thu 10/06

3.1 Maximum and minimum values

Mon 10/10

3.2 The mean value theorem

Wed 10/12

3.3 Derivatives and the shapes of graphs

Thu 10/13

3.3 Derivatives and the shapes of graphs

Mon 10/17

3.4 Curve sketching

Wed 10/19

3.4 Curve sketching

Thu 10/20

TEST 2

Mon 10/24

3.5 Optimization problems

Wed 10/26

3.5 Optimization problems

Thu 10/27

3.7 Antiderivatives

Mon 10/31

3.7 Antiderivatives

Wed 11/02

4.1 Areas and distances

Thu 11/03

4.2 The definite integral

Mon 11/07

4.3 Evaluating definite integrals

Wed 11/09

4.4 The fundamental theorem of calculus

Thu 11/10

TEST 3

Mon 11/14

4.4 The fundamental theorem of calculus

Wed 11/16

4.5 The substitution rule

Thu 11/17

4.5 The substitution rule

Mon 11/21

7.1 Areas between curves

Wed 11/23

7.2 Volumes

Mon 11/28

7.2 Volumes

Wed 11/30

7.3 Volumes by cylindrical shells

Thu 12/01

TEST 4

Math Lab

The university and the department of mathematics offer tutoring without any charge at the Math Lab.
The Lab is located in Ungar building, room 304 and is open Monday through Thursday 10 AM to 6 PM and
Friday 10 AM to 1 PM.
The tutoring is given in a walk-in basis without any appointment. The Lab schedules can be
consulted in its web page.
The Academic Resource Center (A.R.C) also offers tutoring by appointment.